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Finding the Fourth Proportional to 537.56, 806.42 and 152.81

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Solution

The fourth proportional to 537.56, 806.42 and 152.81 is: 229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.56 : 806.42 = 152.81 : x
  2. Step 2: Convert to fraction form
    537.56/806.42 = 152.81/x
  3. Step 3: Cross multiply
    537.56x = 806.42 × 152.81
  4. Step 4: Simplify right side
    537.56x = 123,229.04
  5. Step 5: Solve for x
    x = 123,229.04/537.56
  6. Step 6: Final answer
    x = 229.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.